I'm no expert, but it seems to me that when you make your list manually, you're throwing away all of the structure. When you form a subset of a field (or group, ring, etc), sage doesn't necessarily keep track of the fact that you are making a subfield (ring, group, etc).
For example, if G is a group, and I want a specific subgroup, picking out the elements I want and listing them isn't enough (even if they *do* form a subgroup). I need to fist make the list, say H, then use G.subgroup(H), which will form the subgroup of G generated by the elements listed in H. I don't have a whole lot of experience with this, but I hope this has helped. Zach On Jun 1, 1:28 pm, "D. Monarres" <dmmonar...@gmail.com> wrote: > Hello all, > > Don't mean to reply to my own question. I guess what I am wondering is > why the finite extension of a finite field isn't a finite field. By > having the results being a polynomial ring over the prime field it > seems as if a lot is lost. Is there room to alter this behavior, or > was there a conscious design decision made when choosing this? Once > again thank you for all of your hard work. > > David > -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
